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math

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[ { "from": "human", "value": "Let m = -449656 + 449686. Let p(f) = 2*f. What is the smallest common multiple of m and p(6)?" }, { "from": "gpt", "value": "60" } ]
[ { "from": "human", "value": "Calculate the remainder when 97 is divided by 30." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "-2 divided by 278" }, { "from": "gpt", "value": "-1/139" } ]
[ { "from": "human", "value": "Is 12323 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Does 11 divide 19875?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the difference between 103 and -16.57?" }, { "from": "gpt", "value": "119.57" } ]
[ { "from": "human", "value": "What is q in 2*q**2/5 + 12*q/5 + 2 = 0?" }, { "from": "gpt", "value": "-5, -1" } ]
[ { "from": "human", "value": "Let r = -0.36 - -0.26. What is the biggest value in 7/3, -0.4, r?" }, { "from": "gpt", "value": "7/3" } ]
[ { "from": "human", "value": "What is 1 + 3 + 4 + (-14 - -6)?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Does 504 divide 8603784?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Round -87.6 to the nearest 100." }, { "from": "gpt", "value": "-100.0" } ]
[ { "from": "human", "value": "Calculate (8 - 0 - 6) + 5 + -4." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "31164 divided by 6" }, { "from": "gpt", "value": "5194" } ]
[ { "from": "human", "value": "Find the second derivative of -w**3 - 502*w**2 - 10226*w." }, { "from": "gpt", "value": "-6*w - 1004" } ]
[ { "from": "human", "value": "What is 4 - 0 - (14 + 0 - 17)?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Solve 25*r - 26*r = 4 for r." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Calculate the smallest common multiple of 3 and 17." }, { "from": "gpt", "value": "51" } ]
[ { "from": "human", "value": "Suppose -l + 551 = 2*t, 3*t - 7*t - 1613 = -3*l. Let i be 4/2 + (l - 5). Round i to the nearest one hundred." }, { "from": "gpt", "value": "500.0" } ]
[ { "from": "human", "value": "Find the second derivative of 13821*n**3*y**2 + 245543*n**3*y + n*y**2 - y**4 - 2*y wrt y." }, { "from": "gpt", "value": "27642*n**3 + 2*n - 12*y**2" } ]
[ { "from": "human", "value": "Let h = 28 - 16. Let i = h + -7. Solve 5*p + 10 = i*r, 5*p + 20 = -5*r - 0*p for r." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "In base 9, what is -42 + -6?" }, { "from": "gpt", "value": "-48" } ]
[ { "from": "human", "value": "Solve -9*u = -4*u - 20 for u." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let a be 5*(1 - 2)*30/(-25). Sort a, 0, -5." }, { "from": "gpt", "value": "-5, 0, a" } ]
[ { "from": "human", "value": "What is the derivative of 12*x**3 + 4*x**2 + 19 wrt x?" }, { "from": "gpt", "value": "36*x**2 + 8*x" } ]
[ { "from": "human", "value": "Let v be ((-2)/2)/(8/4). Let o = 4 + 2. Let f = 4 - o. What is the third smallest value in v, f, 1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify 3 + (-2*sqrt(18) - sqrt(2)) + sqrt(2)." }, { "from": "gpt", "value": "3 - 6*sqrt(2)" } ]
[ { "from": "human", "value": "Which is the closest to 3/7? (a) 43 (b) 2 (c) 0.5 (d) 0.2" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the value of (-13)/39*(-9)/15?" }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "How many years are there in 37/5 of a decade?" }, { "from": "gpt", "value": "74" } ]
[ { "from": "human", "value": "Suppose -46*i + 39*i = -28. Solve 0 = -i*t - t + 15 for t." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What comes next: 86, 184, 282, 380, 478?" }, { "from": "gpt", "value": "576" } ]
[ { "from": "human", "value": "Suppose 2*t + 0 - 14 = 0. Let i = t + -5. Suppose -3*z + 6*z - 16 = i*k, z = 2*k + 12. Solve -7*f - 12 = -3*f - z*b, 2*f - 4*b + 12 = 0 for f." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the closest to -1 in -0.1, -3/5, 2/3?" }, { "from": "gpt", "value": "-3/5" } ]
[ { "from": "human", "value": "Let v = 51 + -51.3. What is the nearest to -1/2 in v, -2/5, 0?" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Let w = -10722/7 - -1532. Let l = -1/64 + 135/448. Determine i so that w*i + 0 - l*i**2 = 0." }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "List the prime factors of 330135." }, { "from": "gpt", "value": "3, 5, 13, 1693" } ]
[ { "from": "human", "value": "400/120*((-2)/4 - 1)" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Find s such that 34*s**3 - 72*s**2 - 94*s + 12 = 0." }, { "from": "gpt", "value": "-1, 2/17, 3" } ]
[ { "from": "human", "value": "In base 9, what is 681 + 7?" }, { "from": "gpt", "value": "688" } ]
[ { "from": "human", "value": "Divide -4 by 274." }, { "from": "gpt", "value": "-2/137" } ]
[ { "from": "human", "value": "Factor -5*z**4 - 60*z**3 - 135*z**2 + 20*z + 180." }, { "from": "gpt", "value": "-5*(z - 1)*(z + 2)**2*(z + 9)" } ]
[ { "from": "human", "value": "Let i(w) = -w**3 + 23*w**2 - 55*w + 8. Is i(19) a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 2*u = -2*y - 30 - 4, 3*y = -2*u - 46. Let b = y + 6. Sort b, 4, 3 in ascending order." }, { "from": "gpt", "value": "b, 3, 4" } ]
[ { "from": "human", "value": "18 + -19 - (-6 + 1)" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is 8988 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "95" } ]
[ { "from": "human", "value": "0 + 5 + 6 + (4 - 15)" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let j(q) = -28 + 28 + q + 2*q - q**2. Let a be j(7). Let l = -19 - a. What is the units digit of l?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Solve 4*g = v - 18, -2*v - 5 = -g - 20 for g." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Calculate the remainder when 4981 is divided by 47." }, { "from": "gpt", "value": "46" } ]
[ { "from": "human", "value": "What is 406 minutes before 3:45 PM?" }, { "from": "gpt", "value": "8:59 AM" } ]
[ { "from": "human", "value": "What is the value of (18/(-8) - 1) + 2/8?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is (-22)/55*(-50)/20?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the second derivative of -2*j*r*u**3 + 2*j*r*u**2 + j*r + 2*j - 47*r*u**4 - 356*r*u wrt u?" }, { "from": "gpt", "value": "-12*j*r*u + 4*j*r - 564*r*u**2" } ]
[ { "from": "human", "value": "Let h(u) = -7*u. Let d(q) = q + 2*q - q. Determine d(h(s))." }, { "from": "gpt", "value": "-14*s" } ]
[ { "from": "human", "value": "Solve -3*y - 19 = -5*f - 7*y, -5*y = -f - 2 for f." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose 5*g + 3*p = 2*p + 14, -g - 2*p + 10 = 0. Let t be g*((-2)/11)/2. Let u(y) = y**3 + 5*y**2 + 3*y - 5. Let v be u(-4). Is v > t?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let y(d) be the third derivative of 13*d**6/120 - 5*d**3/2 - 4*d**2. What is the first derivative of y(j) wrt j?" }, { "from": "gpt", "value": "39*j**2" } ]
[ { "from": "human", "value": "What is the product of 0.1 and -41?" }, { "from": "gpt", "value": "-4.1" } ]
[ { "from": "human", "value": "How many minutes are there between 11:09 PM and 9:16 AM?" }, { "from": "gpt", "value": "607" } ]
[ { "from": "human", "value": "Let g = 93 + -91. Let w = -161/2 + 79. Which is the nearest to -1? (a) -2 (b) g (c) w" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Suppose 0 = -3*r + r + 28. Suppose 5*s - 4*s + 3*g - 8 = 0, 4*s - r = -3*g. Let q be (-2 + -3)*(-1 - 1). Solve 0*j + q = -s*j for j." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "-0.6 * 16" }, { "from": "gpt", "value": "-9.6" } ]
[ { "from": "human", "value": "Simplify ((a/(a**(-2/5)*a)*a)/a)**38/(a**0)**(2/37) assuming a is positive." }, { "from": "gpt", "value": "a**(76/5)" } ]
[ { "from": "human", "value": "What is the closest to 0.05 in 1, -1/4, -4, -2?" }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "Let w = -0.06 - 4.94. Let c = 7 + w. Let a = -3.2 - -3.5. Sort a, -0.1, c in increasing order." }, { "from": "gpt", "value": "-0.1, a, c" } ]
[ { "from": "human", "value": "Let s be (-69)/(-4) - 10/40. What is the highest common factor of s and 136?" }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "What is the value of 6/(-16) - 7/((-280)/(-9))?" }, { "from": "gpt", "value": "-3/5" } ]
[ { "from": "human", "value": "What is 6/68*3/((-36)/(-16))?" }, { "from": "gpt", "value": "2/17" } ]
[ { "from": "human", "value": "Suppose -9*t = -5*t - 120. Suppose -t = 6*b - b. Let f = -2 - b. Solve -q = q - f for q." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 130 minutes after 9:15 AM?" }, { "from": "gpt", "value": "11:25 AM" } ]
[ { "from": "human", "value": "Is 26834 prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "-1.544 * 0.1" }, { "from": "gpt", "value": "-0.1544" } ]
[ { "from": "human", "value": "Solve -276 = 18*u - 330 for u." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let n(v) = -v**2 - 5*v. Let b(j) = j**2 + 5*j + 1. Let h(p) = -6*b(p) - 5*n(p). Let s be h(-4). Suppose -5*o - 25 = 0, 0*o - 5*o - 33 = 4*c. Is c less than s?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let w be -2 + (1 - 2 - 0). Let t be -3 + (-3)/w + 5. Determine z, given that 2*z**2 + 0*z**4 + 2*z - 3*z**4 - 2*z**t + z**4 = 0." }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "Which is the nearest to -1? (a) 3 (b) 0.09 (c) -1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Does 24 divide 384?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let r = 0.35 + -0.85. Let m = -125 + 128. Sort -5, m, r, 4." }, { "from": "gpt", "value": "-5, r, m, 4" } ]
[ { "from": "human", "value": "Round -95431 to the nearest 1000." }, { "from": "gpt", "value": "-95000.0" } ]
[ { "from": "human", "value": "Evaluate (-18)/(-288)*0*1/(-2)." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Simplify ((sqrt(135)/sqrt(3))/sqrt(9))**2*5 + -5." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "What is 4 (base 8) in base 14?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "In base 3, what is 12220 - -11?" }, { "from": "gpt", "value": "20001" } ]
[ { "from": "human", "value": "How many milliseconds are there in 91/2 of a second?" }, { "from": "gpt", "value": "45500" } ]
[ { "from": "human", "value": "What is 7/((-63)/(-34)) - (-6)/27?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Round 4116.1 to the nearest 100." }, { "from": "gpt", "value": "4100.0" } ]
[ { "from": "human", "value": "What is -97 times 114?" }, { "from": "gpt", "value": "-11058" } ]
[ { "from": "human", "value": "What is -126 (base 15) in base 8?" }, { "from": "gpt", "value": "-405" } ]
[ { "from": "human", "value": "What is the remainder when 161 is divided by 21?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Product of -0.0303 and 37." }, { "from": "gpt", "value": "-1.1211" } ]
[ { "from": "human", "value": "Evaluate 1*(-2)/(-42) - 4/12." }, { "from": "gpt", "value": "-2/7" } ]
[ { "from": "human", "value": "Suppose 3*p + 9 = 4*q, -2*q = -3*p - 0*p - 3. What is the remainder when q is divided by 3?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose -5*j + 310 = 5*c - 4*c, c - 2*j - 345 = 0. Is c prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 3 = -9*d + 10*d for d." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Calculate prob of sequence duu when three letters picked without replacement from {i: 5, d: 6, u: 4, v: 1}." }, { "from": "gpt", "value": "3/140" } ]
[ { "from": "human", "value": "Simplify ((sqrt(162) + 1 + -2 - (sqrt(162) - (-4 + (sqrt(162)*-2 - sqrt(162))))) + 2)**2." }, { "from": "gpt", "value": "162*sqrt(2) + 1467" } ]
[ { "from": "human", "value": "Solve -q = -2, 4*h = -4*q + 12 + 16 for h." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let q be (2 + 1)/(((-36)/40)/3). Put 2, -1, 4, q in ascending order." }, { "from": "gpt", "value": "q, -1, 2, 4" } ]
[ { "from": "human", "value": "Suppose -4*t + 1 + 7 = 0. Let m be 222/1305 - t/(-6). Let v = 3/29 - m. Put v, -0.5, 5 in ascending order." }, { "from": "gpt", "value": "-0.5, v, 5" } ]
[ { "from": "human", "value": "Let u = -48 - -45. Let r be (u + 207/(-6))*2/(-3). Suppose -g - 9 = -4*g. Solve r = 2*w + g*w for w." }, { "from": "gpt", "value": "5" } ]